Outputs (69)

Some spectral applications of McMullen's Hausdorff dimension algorithm (2012)
Journal Article
Gittins, K., Peyerimhoff, N., Stoiciu, M., & Wirosoetisno, D. (2012). Some spectral applications of McMullen's Hausdorff dimension algorithm. Conformal Geometry and Dynamics, 16, 184-203. https://doi.org/10.1090/s1088-4173-2012-00244-5

Using McMullen's Hausdorff dimension algorithm, we study numerically the dimension of the limit set of groups generated by reflections along three geodesics on the hyperbolic plane. Varying these geodesics, we found four minima in the two-dimensional... Read More about Some spectral applications of McMullen's Hausdorff dimension algorithm.

Cheeger constants, growth and spectrum of locally tessellating planar graphs (2011)
Journal Article
Keller, M., & Peyerimhoff, N. (2011). Cheeger constants, growth and spectrum of locally tessellating planar graphs. Mathematische Zeitschrift, 268(3-4), 871-886. https://doi.org/10.1007/s00209-010-0699-0

Cayley graph expanders and groups of finite width (2011)
Journal Article
Peyerimhoff, N., & Vdovina, A. (2011). Cayley graph expanders and groups of finite width. Journal of Pure and Applied Algebra, 215(11), 2780-2788. https://doi.org/10.1016/j.jpaa.2011.03.018

Billiards in ideal hyperbolic polygons (2011)
Journal Article
Castle, S., Peyerimhoff, N., & Siburg, K. (2011). Billiards in ideal hyperbolic polygons. Discrete and Continuous Dynamical Systems - Series A, 29(3), 893-908. https://doi.org/10.3934/dcds.2011.29.893

Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces (2010)
Journal Article
Peyerimhoff, N., & Samiou, E. (2010). Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces. Arkiv för Matematik, 48(1), 131-147. https://doi.org/10.1007/s11512-009-0105-5

Continuity of the integrated density of states on random length metric graphs. (2009)
Journal Article
Lenz, D., Peyerimhoff, N., Post, O., & Veselic, I. (2009). Continuity of the integrated density of states on random length metric graphs. Mathematical Physics, Analysis and Geometry, 12(3), 219-254. https://doi.org/10.1007/s11040-009-9059-x

Continuity properties of the integrated density of states on manifolds (2008)
Journal Article
Lenz, D., Peyerimhoff, N., Post, O., & Veselic, I. (2008). Continuity properties of the integrated density of states on manifolds. Japanese Journal of Mathematics, 3(1), 121-161. https://doi.org/10.1007/s11537-008-0729-4

Ergodic properties of isoperimetric domains in spheres (2008)
Journal Article
Knieper, G., & Peyerimhoff, N. (2008). Ergodic properties of isoperimetric domains in spheres. Journal of Modern Dynamics, 2(2), 339-358. https://doi.org/10.3934/jmd.2008.2.339

Groupoids, von Neumann algebras and the integrated density of states (2007)
Journal Article
Lenz, D., Veselic, I., & Peyerimhoff, N. (2007). Groupoids, von Neumann algebras and the integrated density of states. Mathematical Physics, Analysis and Geometry, 10(1), 1-41. https://doi.org/10.1007/s11040-007-9019-2

We study spectral properties of random operators in the general setting of groupoids and von Neumann algebras. In particular, we establish an explicit formula for the canonical trace of the von Neumann algebra of random operators and define an abstra... Read More about Groupoids, von Neumann algebras and the integrated density of states.

Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature (2006)
Journal Article
Klassert, S., Lenz, D., Peyerimhoff, N., & Stollmann, P. (2006). Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature. Proceedings of the American Mathematical Society, 134(5), 1549-1559

This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curvature of the tessellation is nonpositive. Furthermore, we show that the... Read More about Elliptic operators on planar graphs: unique continuation for eigenfunctions and nonpositive curvature.